Instytut Podstawowych Problemów Techniki
Polskiej Akademii Nauk


Luca Heltai

SISSA - International School for Advanced Studies (IT)

Ostatnie publikacje
1.  Wichrowski M., Krzyżanowski P., Heltai L., Stupkiewicz S., Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, ISSN: 0029-5981, DOI: 10.1002/nme.7350, Vol.124, pp.5446-5470, 2023

In this work, we develop a new algorithm to solve large-scale incompressible time-dependent fluid-structure interaction problems using a matrix-free finite element method in arbitrary Lagrangian–Eulerian frame of reference. We derive a semi-implicit time integration scheme which improves the geometry-convective explicit scheme for problems involving the interaction between incompressible hyperelastic solids and incompressible fluids. The proposed algorithm relies on the reformulation of the time-discrete problem as a generalized Stokes problem with strongly variable coefficients, for which optimal preconditioners have recently been developed. The resulting algorithm is scalable, optimal, and robust: we test our implementation on model problems that mimic classical Turek-Hron benchmarks in two and three dimensions, and investigate timing and scalability results.

Słowa kluczowe:
arbitrary Lagrangian-Eulerian, finite element method, fluid-structure interaction, geometric multigrid, matrix-free method, monolithic scheme

Afiliacje autorów:
Wichrowski M. - inna afiliacja
Krzyżanowski P. - inna afiliacja
Heltai L. - SISSA - International School for Advanced Studies (IT)
Stupkiewicz S. - IPPT PAN
2.  Bangerth W., Heister T., Heltai L., Kanschat G., Kronbichler M., Maier M., Turcksin B., Young T.D., The deal.II Library, Version 8.2, Archive of Numerical Software, ISSN: 2197-8263, Vol.3, No.100, pp.1-8, 2015

Kategoria A Plus


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